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Finding the Third Proportional to 443,829 and 958,476

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Solution

The third proportional to 443,829 and 958,476 is: 2,069,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,829 : 958,476 = 958,476 : x
  2. Step 2: Convert to fraction form
    443,829/958,476 = 958,476/x
  3. Step 3: Cross multiply
    443,829x = 958,476 × 958,476
  4. Step 4: Simplify right side
    443,829x = 918,676,242,576
  5. Step 5: Solve for x
    x = 918,676,242,576/443,829
  6. Step 6: Final answer
    x = 2,069,887.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.